The next wave of the e-commerce revolution could soon be upon us, thanks to a Massachusetts company that’s promising to simplify processing online payments for merchants and customers all over the globe.

BlueSnap -- formerly known as Plimus Inc. -- is launching in the USA today and unveiling a new website, www.bluesnap.com. The Boston private equity firm Great Hill Partners acquired full ownership of the company in late 2011 for $115 million. They changed the name, brought in a new management team, and relocated the company from Silicon Valley to the Boston suburbs.

“People ask why we’ve put so much money into this,” BlueSnap CEO Ralph Dangelmaier told Mass High Tech. “The answer is that e-commerce is growing by 10 to 13 percent a year, faster than any other part of the economy. In the next five to ten years there will be a huge growth in companies selling software content and subscription services online. They’ll need the services BlueSnap offers to reach global customers.”

Using cloud technology, BlueSnap already provides services to 5,000 merchants in 145 countries. Current customers include Matrix Games, which sells online games that use historic battles as themes, and iZotope, a Cambridge company that provides sound systems for NFL stadiums and other mega-venues. The goal of the new expansion push is to sign up 50 merchants a week over the next year, according to Dangelmaier. “It won’t be a secret any more,” he says.

According to the company, BlueSnap can handle more than 250 different payment types, including credit cards, debit cards, Paypal, checks, wire transfers, and e-wallets issued by Google, Facebook, and other providers. The service eliminates concerns about exchange rates and collects all applicable sales taxes.

“We’re a buying platform that allows merchants to focus on their customers, not technology,” says the CEO. “We’re the check-out counter at an online store, the guys who take your credit card or other payment. You’ll be able to sell to people in Russia, and not have to worry how to handle the transaction. BlueSnap will even put the screen in Russian.”

Customers will be able to visit a website and buy merchandise on any page, or with the shopping-cart model. And BlueSnap promises to make shopping easier for customers by saving all the payment information filed with a first purchase; that way subsequent purchases can be made with a single click. The company meets all the data storage requirements of the Payment Card Industry Security Standard.

Customers shopping online will likely be unaware BlueSnap is processing their transactions. “We stay in the background. Your customers won’t see us. They won’t have to learn something new to use this product.”

The system will also offer merchants an easy way to so some e-marketing. “When a customer checks out -- pays for their services -- we’re able provide things like discounts and upselling,” says Dangelmaier. “If you want to offer something like an extended warranty for $9.99, we’ll be able to handle that.”

A customer can also set up a BlueSnap account that will automatically pay all their monthly bills, from utilities to magazine subscriptions. You’ll receive monthly statements via email to keep you informed about your account status.

As Plimus, the company has been around for more than a decade. Great Hill Partners, a firm that manages $2.5 billion in capital, changed the name last year. Since November they’ve hired a dozen employees, and they expect to double that number over the next year. They’re now renting temporary office space in Waltham, and are looking for a more permanent location in the Boston suburbs.

BlueSnap services won’t be available for all businesses found on the Internet. “We don’t do adult entertainment, get-rich-quick schemes, diet pills, or pharmacies outside the country,” Dangelmaier says. “We have a system set up to screen merchants, and we’ve hired a professional with 30 years’ experience to handle risk and compliance.”

The company also shuns businesses that offer online gambling in states and countries where it is illegal.